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Mathematics
Problem
Let
U
U
U
be a universal set with
n
(
U
)
=
100
n(U) = 100
n
(
U
)
=
100
. Sets
A
A
A
and
B
B
B
are subsets of
U
U
U
such that
n
(
A
)
=
45
n(A) = 45
n
(
A
)
=
45
,
n
(
B
)
=
38
n(B) = 38
n
(
B
)
=
38
, and
n
(
A
∩
B
)
=
12
n(A \cap B) = 12
n
(
A
∩
B
)
=
12
. Find the number of elements that belong to neither set
A
A
A
nor set
B
B
B
.
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